Web-based Supplementary Materials for "Bayesian nonparametric estimation of targeted agent effects on biomarker change to predict clinical outcome," by

Bayesian nonparametric estimation of targeted agent effects on biomarker change to predict clinical outcome.

The effect of a targeted agent on a cancer patient's clinical outcome putatively is mediated through the agent's effect on one or more early biological events. This is motivated by pre-clinical experiments with cells or animals that identify such events, represented by binary or quantitative biomarkers. When evaluating targeted agents in humans, central questions are whether the distribution of...

Web-based Supplementary Materials for Bayesian Nonparametric Regression Analysis of Data with Random Effects Covariates from Longitudinal Measurements by

Bayesian Estimation of Change Point in Phase One Risk Adjusted Control Charts

Use of risk adjusted control charts for monitoring patients’ surgical outcomes is now popular.These charts are developed based on considering the patient’s pre-operation risks. Change point detection is a crucial problem in statistical process control (SPC).It helpsthe managers toanalyzeroot causes of out-of-control conditions more effectively. Since the control chart signals do not necessarily...

Bayesian change point estimation in Poisson-based control charts

Precise identification of the time when a process has changed enables process engineers to search for a potential special cause more effectively. In this paper, we develop change point estimation methods for a Poisson process in a Bayesian framework. We apply Bayesian hierarchical models to formulate the change point where there exists a step < /div> change, a linear trend and a known multip...

Improving the Performance of Bayesian Estimation Methods in Estimations of Shift Point and Comparison with MLE Approach

A Bayesian analysis is used to detect a change-point in a sequence of independent random variables from exponential distributions. In This paper, we try to estimate change point which occurs in any sequence of independent exponential observations. The Bayes estimators are derived for change point, the rate of exponential distribution before shift and the rate of exponential distribution after s...